- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(true,x,y,z) -> f(gt(x,plus(y,z)),x,s(y),z) [2] f(true,x,y,z) -> f(gt(x,plus(y,z)),x,y,s(z)) [3] plus(n,0) -> n [4] plus(n,s(m)) -> s(plus(n,m)) [5] gt(0,v) -> false [6] gt(s(u),0) -> true [7] gt(s(u),s(v)) -> gt(u,v) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> --> --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(true,x,y,z) >= f(gt(x,plus(y,z)),x,s(y),z) ; f(true,x,y,z) >= f(gt(x,plus(y,z)),x,y,s(z)) ; gt(s(u),s(v)) >= gt(u,v) ; gt(s(u),0) >= true ; gt(0,v) >= false ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; Marked_f(true,x,y,z) >= Marked_f(gt(x,plus(y,z)),x,s(y),z) ; Marked_f(true,x,y,z) >= Marked_f(gt(x,plus(y,z)),x,y,s(z)) ; } + Disjunctions:{ { Marked_f(true,x,y,z) > Marked_f(gt(x,plus(y,z)),x,s(y),z) ; } { Marked_f(true,x,y,z) > Marked_f(gt(x,plus(y,z)),x,y,s(z)) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (Simple graph) Found the following constraints: { f(true,x,y,z) >= f(gt(x,plus(y,z)),x,s(y),z) ; f(true,x,y,z) >= f(gt(x,plus(y,z)),x,y,s(z)) ; gt(s(u),s(v)) >= gt(u,v) ; gt(s(u),0) >= true ; gt(0,v) >= false ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; Marked_f(true,x,y,z) > Marked_f(gt(x,plus(y,z)),x,s(y),z) ; Marked_f(true,x,y,z) > Marked_f(gt(x,plus(y,z)),x,y,s(z)) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { f(true,x,y,z) >= f(gt(x,plus(y,z)),x,s(y),z) ; f(true,x,y,z) >= f(gt(x,plus(y,z)),x,y,s(z)) ; gt(s(u),s(v)) >= gt(u,v) ; gt(s(u),0) >= true ; gt(0,v) >= false ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; Marked_f(true,x,y,z) > Marked_f(gt(x,plus(y,z)),x,s(y),z) ; Marked_f(true,x,y,z) > Marked_f(gt(x,plus(y,z)),x,y,s(z)) ; } + Disjunctions:{ } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === No solution found for these parameters.(573 bt (41) [456]) === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 3.426788 seconds (real time) Cime Exit Status: 0